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Finding the Fourth Proportional to 82,689.48, 114,097.65 and 48,704.74

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Solution

The fourth proportional to 82,689.48, 114,097.65 and 48,704.74 is: 67,204.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,689.48 : 114,097.65 = 48,704.74 : x
  2. Step 2: Convert to fraction form
    82,689.48/114,097.65 = 48,704.74/x
  3. Step 3: Cross multiply
    82,689.48x = 114,097.65 × 48,704.74
  4. Step 4: Simplify right side
    82,689.48x = 5,557,095,563.85
  5. Step 5: Solve for x
    x = 5,557,095,563.85/82,689.48
  6. Step 6: Final answer
    x = 67,204.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.